Find the gradient so (-5-3)/(2+1) =-8/3 input it in y=mx+c and also use the coordinates from the question

So it becomes
3=-8/3 (-1) + c
C=1/3
Y=-8/3 x+1/3

3 0

2 years ago

A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is tak

Yuri [45]

Answer:

a) Assume that the population has a normal distribution.

And the reason is because this distribution is tabulated and is possible to find quantiles for a confidence level given. And for the uniform distribution we don't have somthing like this.

b) $218- 1.6449 \frac{72}{\sqrt{26}}= 194.77$

$218+ 1.6449 \frac{72}{\sqrt{26}}= 241.23$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X =218$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=72$ represent the population standard deviation

n=26 represent the sample size

Calculate the confidence interval

Part a

For this case the correct answer would be:

Assume that the population has a normal distribution.

And the reason is because this distribution is tabulated and is possible to find quantiles for a confidence level given. And for the uniform distribution we don't have somthing like this.

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.6449$

Now we have everything in order to replace into formula (1):

$218- 1.6449 \frac{72}{\sqrt{26}}= 194.77$

$218+ 1.6449 \frac{72}{\sqrt{26}}= 241.23$

5 0

3 years ago